Base | Representation |
---|---|
bin | 110000011011… |
… | …100101100000 |
3 | 212220000111200 |
4 | 300123211200 |
5 | 11222232104 |
6 | 1132041200 |
7 | 212625204 |
oct | 60334540 |
9 | 25800450 |
10 | 12695904 |
11 | 7191691 |
12 | 4303200 |
13 | 2826990 |
14 | 1986b04 |
15 | 11abb39 |
hex | c1b960 |
12695904 has 72 divisors (see below), whose sum is σ = 38892672. Its totient is φ = 3905280.
The previous prime is 12695899. The next prime is 12695909. The reversal of 12695904 is 40959621.
12695904 is a `hidden beast` number, since 1 + 2 + 69 + 590 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (12695899) and next prime (12695909).
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×126959042 = 322371956754432, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12695909) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2049 + ... + 5439.
It is an arithmetic number, because the mean of its divisors is an integer number (540176).
Almost surely, 212695904 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12695904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446336).
12695904 is an abundant number, since it is smaller than the sum of its proper divisors (26196768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12695904 is a wasteful number, since it uses less digits than its factorization.
12695904 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3420 (or 3409 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 36.
The square root of 12695904 is about 3563.1312072389. The cubic root of 12695904 is about 233.2855702690.
The spelling of 12695904 in words is "twelve million, six hundred ninety-five thousand, nine hundred four".
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